Pith Number

pith:X5RDHPWP

pith:2023:X5RDHPWPGII5RVBOPY4QYEEJQC

not attested not anchored not stored refs pending

Sharp hypercontractivity for symmetric groups and its applications

Noam Lifshitz, Peter Keevash

arxiv:2307.15030 v1 · 2023-07-27 · math.GR · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5RDHPWPGII5RVBOPY4QYEEJQC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Forbidden Intersection Theorems for Matrix Spaces

Receipt and verification

First computed	2026-07-05T06:35:21.073323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6233becf3211d8d42e7e390c108980a8a16a37d351cf712ac29e87809722a2

Aliases

arxiv: 2307.15030 · arxiv_version: 2307.15030v1 · doi: 10.48550/arxiv.2307.15030 · pith_short_12: X5RDHPWPGII5 · pith_short_16: X5RDHPWPGII5RVBO · pith_short_8: X5RDHPWP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5RDHPWPGII5RVBOPY4QYEEJQC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf6233becf3211d8d42e7e390c108980a8a16a37d351cf712ac29e87809722a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7785c203fd93f98b57dafd37867b72caedc76f8248455959d5a9e12b87616f",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-07-27T17:38:40Z",
    "title_canon_sha256": "5ef3391af47ab195858ebfecf78b7f4a5bfdca9b71b901412acd7fea59782fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15030",
    "kind": "arxiv",
    "version": 1
  }
}